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Simplifying 8(T + -4) = 2(T + -4) Reorder the terms: 8(-4 + T) = 2(T + -4) (-4 * 8 + T * 8) = 2(T + -4) (-32 + 8T) = 2(T + -4) Reorder the terms: -32 + 8T = 2(-4 + T) -32 + 8T = (-4 * 2 + T * 2) -32 + 8T = (-8 + 2T) Solving -32 + 8T = -8 + 2T Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-2T' to each side of the equation. -32 + 8T + -2T = -8 + 2T + -2T Combine like terms: 8T + -2T = 6T -32 + 6T = -8 + 2T + -2T Combine like terms: 2T + -2T = 0 -32 + 6T = -8 + 0 -32 + 6T = -8 Add '32' to each side of the equation. -32 + 32 + 6T = -8 + 32 Combine like terms: -32 + 32 = 0 0 + 6T = -8 + 32 6T = -8 + 32 Combine like terms: -8 + 32 = 24 6T = 24 Divide each side by '6'. T = 4 Simplifying T = 4
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